Name the Property of Congruence that justifies this statement: m¡ÏA + m¡ÏB = m¡ÏC, then m¡ÏA = m¡ÏC ¨C m¡ÏB.
Transitive Property
Symmetric Property
Reflexive Property
none of these
This confuses me...
I see I can't copy and paste so it won't help me.
I am 99% sure it’s transitive property
To determine which property of congruence justifies the given statement, let's break down each choice:
1. Transitive Property: The transitive property of congruence states that if two angles are congruent to a third angle, then they are congruent to each other. However, the given statement does not involve three different angles, so the transitive property is not applicable.
2. Symmetric Property: The symmetric property of congruence states that if angle A is congruent to angle B, then angle B is congruent to angle A. This property deals with the equality of two angles, not the sum of their measures, so it is also not the correct property for this statement.
3. Reflexive Property: The reflexive property of congruence states that any angle is congruent to itself. However, the given statement involves three distinct angles (A, B, C) and their measures, so the reflexive property is not relevant.
Therefore, none of the properties listed (transitive, symmetric, reflexive) justify the given statement. It seems like a different property or principle is needed.